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Finding the Third Proportional to 52,426,852.75 and 78,640,287.13

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Solution

The third proportional to 52,426,852.75 and 78,640,287.13 is: 117,960,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426,852.75 : 78,640,287.13 = 78,640,287.13 : x
  2. Step 2: Convert to fraction form
    52,426,852.75/78,640,287.13 = 78,640,287.13/x
  3. Step 3: Cross multiply
    52,426,852.75x = 78,640,287.13 × 78,640,287.13
  4. Step 4: Simplify right side
    52,426,852.75x = 6,184,294,759,102,441
  5. Step 5: Solve for x
    x = 6,184,294,759,102,441/52,426,852.75
  6. Step 6: Final answer
    x = 117,960,442.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.